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2 years ago

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Penelope mowed 6 lawns in 12 hours. What was her rate of mowing in hours per lawn?Penelope mowed 6 lawns in 12 hours. What was h

er rate of mowing in hours per lawn?

1 answer:

viva [34]2 years ago

5 0

Answer:

2 hours per lawn

Step-by-step explanation:

12 hours / 6 lawns = 2 hours per lawn

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Ashley is making cookies for the party. Each batch of cookies takes 0.75 cup of sugar. If she

____ [38]

Answer:

5/25

Step-by-step explanation:

she will need 5.25 sugar if she mak eit with batches

5 0

2 years ago

Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point

Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$

so, $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

since $\sqrt{3}=1.732$

so, $(6+7(1.732),0)\text{ and }(6-7(1.732),0)$ are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0

3 years ago

Fred and Victoria provide the following proofs for vertical angles to be equal:

mart [117]

Answer should be <span>Both Fred's and Victoria's proofs are correct.</span>

8 0

3 years ago

Read 2 more answers

I need help with this equation please!<br><br> 15- w/4 = 28

Luda [366]

Answer:

w= -52

Step-by-step explanation:

We simplify the equation to the form, which is simple to understand

15-w/4=28

Simplifying:

15-0.25w=28

We move all terms containing w to the left and all other terms to the right.

-0.25w=+28-15

We simplify left and right side of the equation.

-0.25w=+13

We divide both sides of the equation by -0.25 to get w.

w= -52

Hope it Helps :) !!

8 0

3 years ago

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P

Ivanshal [37]

Answer:

44.3 is the one

Step-by-step explanation:

mark me and give my 5 start and heart

6 0

2 years ago

Read 2 more answers